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Answer: Eccentricity-directrix approach Find an equation

Chapter 8, Problem 40RE

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QUESTION:

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.

A hyperbola with vertices \((\pm 4,0)\) and directrices \(x=\pm 2\)

Questions & Answers

QUESTION:

Eccentricity-directrix approach Find an equation of the following curves, assuming the center is at the origin. Graph the curve, labeling vertices, foci, asymptotes (if they exist), and directrices.

A hyperbola with vertices \((\pm 4,0)\) and directrices \(x=\pm 2\)

ANSWER:

Solution 40RE

Step 1:

Given that

A hyperbola with vertices (±4, 0) and directrices x = ±2

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